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what value of t makes the statement true?$(4x^{3}+5)(2x^{3}+3)=8x^{6}+t…

Question

what value of t makes the statement true?$(4x^{3}+5)(2x^{3}+3)=8x^{6}+tx^{3}+15LXB0k=$done

Explanation:

Step1: Expand left-hand side

$x^k y^4(2x^3 + 7x^2 y^4) = 2x^{k+3}y^4 + 7x^{k+2}y^{8}$

Step2: Equate exponents of x terms

Match $2x^{k+3}y^4$ with $2x^4y^4$: $k+3=4$

Step3: Solve for k

$k=4-3=1$

Answer:

$1$